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Andrej [43]
3 years ago
8

As college has ten instructor qualified to teach a special computer lab course that requires two instructors to be present how m

any different pairs of teachers could there be?
Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

his is like a factorial problem:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040

BUT ... we are looking at only the first two spots. So

7 * 6 = 42

Step-by-step explanation:

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Carlos put 15% down on a 90000 house what is the mortgage amount he will pay monthly for 30 years at 11.5 %
DiKsa [7]
90,000*.85 = $76,500 = Financing
He will pay <span>$757.57 monthly for 30 years at an interest rate of 11.5%</span>
5 0
3 years ago
Which situation can be simulated by rolling a six-sided die once?
AleksandrR [38]

Answer:

A. Selecting one person from a group of four boys and two girls.

Step-by-step explanation:

A dice has six sides and here we have six people we're trying to choose from. If each person is assigned a number on the dice rolling the dice once will pick out of the six of them.

8 0
2 years ago
Read 2 more answers
A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus ​, which is 46feet above the vertex of th
uranmaximum [27]

the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.

The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.

In terms of hyperbola, F1F2=2c, c=20.

The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.

Use formula c^2=a^2+b^2c

2

=a

2

+b

2

to find b:

\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}

(20)

2

=(18)

2

+b

2

,

b

2

=400−324=76

.

The branches of hyperbola go in y-direction, so the equation of hyperbola is

\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1

b

2

y

2

−

a

2

x

2

=1 .

Substitute a and b:

\dfrac{y^2}{76}- \dfrac{x^2}{324}=1

76

y

2

−

324

x

2

=1 .

7 0
3 years ago
Which expressions represent rational numbers? Check all that apply.
Blizzard [7]

Answer:

they're all rational numbers

Step-by-step explanation:

rational numbers are positive, negative, or zero integers. they can be decimals as well.

first expression = 2.449.... + 3 = 5.449 (yes, it is rational)

second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)

third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)

fourth expression = 4 + 13 = 17 (yes, it is rational)

fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)

sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)

8 0
2 years ago
Will someone please help me solve this !!
Setler79 [48]

Answer:

130

Step-by-step explanati

7 0
3 years ago
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